111312 has 30 divisors (see below), whose sum is σ = 311922. Its totient is φ = 37056.

The previous prime is 111301. The next prime is 111317. The reversal of 111312 is 213111.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 41616 = 264^2 + 204^2 .

It is a super-2 number, since 2×111312² = 24780722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111294 and 111303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111317) by changing a digit.

111312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243 + ... + 530.

2¹¹¹³¹² is an apocalyptic number.

111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111312 is an abundant number, since it is smaller than the sum of its proper divisors (200610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111312 is a wasteful number, since it uses less digits than its factorization.

111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 111312 is about 333.6345305870. The cubic root of 111312 is about 48.1039414246.

Adding to 111312 its reverse (213111), we get a palindrome (324423).

The spelling of 111312 in words is "one hundred eleven thousand, three hundred twelve", and thus it is an iban number.